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Finding the Third Proportional to 1,826,370 and 2,839,003

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Solution

The third proportional to 1,826,370 and 2,839,003 is: 4,413,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,370 : 2,839,003 = 2,839,003 : x
  2. Step 2: Convert to fraction form
    1,826,370/2,839,003 = 2,839,003/x
  3. Step 3: Cross multiply
    1,826,370x = 2,839,003 × 2,839,003
  4. Step 4: Simplify right side
    1,826,370x = 8,059,938,034,009
  5. Step 5: Solve for x
    x = 8,059,938,034,009/1,826,370
  6. Step 6: Final answer
    x = 4,413,091.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.